Details

Time bar (total: 34.4s)

sample60.0ms

Algorithm
intervals
Results
33.0ms336×body80valid

simplify5.0s

Counts
1 → 1
Iterations
IterNodes
done5003
91817
8762
7499
6390
5316
4249
3162
275
127
09

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
12.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
66.0ms
(* (* z z) (+ z 1.0))
56.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series257.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(* (* z z) (+ z 1.0))
149.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.7s

Counts
61 → 61
Iterations
IterNodes
done5000
22042
1377
0116

prune535.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.5b

localize49.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.8b
(/ x (* z z))

rewrite320.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
70.0ms
(/ y (+ z 1.0))
196.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
36.0ms
(/ x (* z z))

series734.0ms

Counts
3 → 9
Calls
3 calls:
226.0ms
(/ y (+ z 1.0))
374.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
124.0ms
(/ x (* z z))

simplify3.6s

Counts
122 → 122
Iterations
IterNodes
done5001
22323
1541
0186

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
2.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
200.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
432.0ms
(cbrt x)
418.0ms
(cbrt x)
650.0ms
(cbrt x)
188.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify3.6s

Counts
108 → 108
Iterations
IterNodes
done5000
22156
1522
0165

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize250.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

rewrite814.0ms

Algorithm
rewrite-expression-head
Rules
157×add-exp-log
115×add-cbrt-cube
78×prod-exp cbrt-unprod
48×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 120
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
795.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

series1.5s

Counts
4 → 12
Calls
4 calls:
485.0ms
(cbrt x)
423.0ms
(cbrt x)
394.0ms
(cbrt x)
214.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

simplify6.6s

Counts
132 → 132
Iterations
IterNodes
done5010
23527
1713
0214

prune735.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes713.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s10794×body80valid